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Finding the Fourth Proportional to 20,096, 30,144 and 7,784

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Solution

The fourth proportional to 20,096, 30,144 and 7,784 is: 11,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096 : 30,144 = 7,784 : x
  2. Step 2: Convert to fraction form
    20,096/30,144 = 7,784/x
  3. Step 3: Cross multiply
    20,096x = 30,144 × 7,784
  4. Step 4: Simplify right side
    20,096x = 234,640,896
  5. Step 5: Solve for x
    x = 234,640,896/20,096
  6. Step 6: Final answer
    x = 11,676

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.